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Finding the Fourth Proportional to 916.69, 1,365.65 and 872.61

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Solution

The fourth proportional to 916.69, 1,365.65 and 872.61 is: 1,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.69 : 1,365.65 = 872.61 : x
  2. Step 2: Convert to fraction form
    916.69/1,365.65 = 872.61/x
  3. Step 3: Cross multiply
    916.69x = 1,365.65 × 872.61
  4. Step 4: Simplify right side
    916.69x = 1,191,679.85
  5. Step 5: Solve for x
    x = 1,191,679.85/916.69
  6. Step 6: Final answer
    x = 1,299.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.